Fine structure of the cross sections of $e^{+}{e}^{-}$ annihilation near the thresholds of $p\bar{p}$ and $n\bar{n}$ production

Abstract

The energy dependence of the cross sections of $p\bar{p}$, $n\bar{n}$, and meson production in $e^{+}{e}^{-}$ annihilation in the vicinity of the $p\bar{p}$ and $n\bar{n}$ thresholds is studied. The proton-neutron mass difference and the $p\bar{p}$ Coulomb interaction are taken into account. The values of the cross sections are very sensitive to the parameters of the optical potential. It is shown that the commonly accepted factorization approach for the account of the Coulomb interaction does not work well enough in the vicinity of the threshold due to the finite size of the optical potential well.

arXiv comment12 pages, 3 figures

References in corpus (21)

• Observation of a near-threshold enhancement in th p pbar mass spectrum from radiative J/psi-->gamma p pbar decays
• The $e^{+}{e}^{-}\to 2({\pi }^{+}{\pi }^{-}){\pi }^0$, 2(π^+π^-)η$,$K^+ K^-π^+π^-π^0$and$K^+ K^-π^+π^-η$ Cross Sections Measured with Initial-State Radiation
• Study of e+e- --> p anti-p via initial-state radiation at BABAR
• The e+ e- --> 3(pi+pi-), 2(pi+pi-pi0) and K+K- 2(pi+pi-) Cross Sections at Center-of-Mass Energies from Production Threshold to 4.5 GeV Measured with Initial-State Radiation
• Spin-Parity Analysis of ppbar Mass Threshold Structure in J/psi and psi' Radiative Decays
• The electromagnetic form factors of the proton in the timelike region
• Study of psi(2S) Decays to gamma p bar{p}, pi^0 p bar{p} and eta p bar{p} and Search for p bar{p} Threshold Enhancements
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Measurement of the e+e- --> p anti-p cross section in the energy range from 3.0 to 6.5 GeV
• Study of the process $e^{+}{e}^{-}\to p\bar{p}$ in the c.m. energy range from threshold to 2 GeV with the CMD-3 detector
• Paris nucleon-antinucleon potential constrained by recent antiprotonic-atom data and antineutron-proton total cross sections
• Study of N* Production from J/Psi--> p pbar eta
• Energy-dependent partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c
• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays
• Study of Jψdecaying into ωp \bar p
• Partial wave analysis of J/psi to p pbar pi0
• Origin of the structures observed in $e^{+}{e}^{-}$ annihilation into multipion states around the $\bar{p}p$ threshold
• Real and virtual $N\bar{N}$ pair production near the threshold
• Isoscalar amplitude dominance in $e^{+}e-$ annihilation to $N\bar{N}$ pair close to the threshold
• Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi \to p\bar{p}\gamma (\rho ,\omega )$ decays
• Angular distributions in $J/\psi \to p\bar{p}{\pi }^0(\eta )$ decays

Cited by in corpus (11)

• Observation of a Fine Structure in $e^{+}{e}^{-}\to$ hadrons Production at the Nucleon-antinucleon Threshold
• $N\bar{N}$ production in $e^{+}{e}^{-}$ annihilation near the threshold revisited
• Timelike nucleon electromagnetic form factors: All about interference of isospin amplitudes
• Possible Assignment of Excited Light ${}^3{S}_1$ Vector Mesons
• Coulomb effects in the decays ${\rm Y}(4S)\to B\bar{B}$
• Final-state interaction in the process $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$
• Charge asymmetry in decays $B\to D\bar{D}K$
• Near-threshold resonance in $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$ process
• Invariant-mass spectrum of $\Lambda \bar{\Lambda }$ pair in the process $e^{+}{e}^{-}\to \varphi \Lambda \bar{\Lambda }$
• Common explanation of the behavior of some $e^{+}{e}^{-}$ annihilation processes around $\sqrt{s}$ = 1.9 GeV
• Coupled-channel analysis of the near-threshold $e^{+}{e}^{-}\to N\bar{N}$ cross sections